Question

what is the meaning of In??

Answer 1

natural logarithm

Answer 2

It is a logarithm with base e

Answer 3

hmm

Answer 4

can you give me some numeric example?

Answer 5

There are several definitions. If you know the exponential function, it's the inverse. Also
\[\ln x := \int_{1}^x{\frac{1}{x}dx}\]

Answer 6

i dunno expoenial function

Answer 7

An example would be ln 5 or ln e^8

Answer 8

The most important thing to know are it's properties:
\[\ln (a\cdot b) = \ln a + \ln b\]\[\ln a^b = b\ln a\] From there you can deduce most things.

Answer 9

you were serious about it!

Answer 10

yes i am animalsavior ^^

Answer 11

thanxx

Answer 12

but i dunno integral :(-

Answer 13

You don't need to, as long as you follow those properties. From them you can derive for example: \[\ln a - \ln b = \ln \frac{a}{b}\]

Answer 14

hmm

Answer 15

Try to find this by placing "clever" value for a and b in the initial properties. I hope you know that \[a^{-1} := \frac{1}{a}\]

Answer 16

noramlly :D
:P :P

Answer 17

but what ln does?

Answer 18

It is not important for that other question and in fact those two properties already describe it completely up to a constant factor. So if I tell you there is that euler-constant \(e\) for which \[\ln e = 1\] and those properties above hold, you know what ln does.

Answer 19

hmmm

Answer 20

So where's your problem?

Answer 21

well I don't got the process

Answer 22

what we use this ln for?

Answer 23

As the inverse of exponentiation. That's why you need that constant \(e \approx 2.7\): \[\ln e^x = x\]

Answer 24

ahh :D ok! its about logaritmh

Answer 25

and the base is e

Answer 26

so just gimme a numeriv example plz?

Answer 27

\[\ln 1 = 0\]\[\ln e = 1\]\[\ln 2 \approx 0.693\]

Answer 28

hmm ok i got it now ^^ but where we can use this?

Answer 29

solving integrals for example

Answer 30

hmmm

Answer 31

thanks much :D